❇Answer: y=-5x+5
❇Explanation:
First I'll write down the points given:
(-2,15)➡1st point=(x1,y1)
(2,-5)➡ 2nd point=(x2,y2)
(6,-25)➡ 3rd point=(x3,y3)
(10,-45)➡4th point=(x4,y4)
Calculating slope using 1st and 2nd points:
slope= (y2-y1)/(x2-x1)
=(-5-15)/[2-(-2)]
=-20/4
=-5
Calculating slope using 3rd and 4th points:
slope= (y4-y3)/(x4-x3)
=[-45-(-25)]/(10-6)
=-20/4
=-5
Since slope of first two points and last two points are equal, all of these points lie on same line whose equation can be given in slope-intercept form as,
↪y=mx+c {m is slope}
↪y=-5x+c➡Eqn(1)
Let (0,c) be any point cutting y-axis making
y-intercept=c
Lets take 1st point and (0,c) and apply slope formula,
slope=(c-15)/[0-(-2)]
↪-5=(c-15)/2
↪c-15=-10
↪c=15-10
↪c=5
Put value of c in Eqn(1),
↪y=-5x+5